{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "S+P Week 4 Lesson 1.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "GNkzTFfynsmV",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "!pip install tensorflow==2.0.0b1"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "56XEQOGknrAk",
        "colab_type": "code",
        "outputId": "daa161d9-fcde-49db-b937-9f671542cb4f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "import tensorflow as tf\n",
        "print(tf.__version__)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "2.0.0-beta1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sLl52leVp5wU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
        "    plt.plot(time[start:end], series[start:end], format)\n",
        "    plt.xlabel(\"Time\")\n",
        "    plt.ylabel(\"Value\")\n",
        "    plt.grid(True)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tP7oqUdkk0gY",
        "colab_type": "code",
        "outputId": "3020cb86-641d-4afb-a5a9-26f6b4e09821",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 226
        }
      },
      "source": [
        "!wget --no-check-certificate \\\n",
        "    https://storage.googleapis.com/laurencemoroney-blog.appspot.com/Sunspots.csv \\\n",
        "    -O /tmp/sunspots.csv"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "--2019-07-01 15:07:56--  https://storage.googleapis.com/laurencemoroney-blog.appspot.com/Sunspots.csv\n",
            "Resolving storage.googleapis.com (storage.googleapis.com)... 74.125.195.128, 2607:f8b0:400e:c08::80\n",
            "Connecting to storage.googleapis.com (storage.googleapis.com)|74.125.195.128|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 70827 (69K) [application/octet-stream]\n",
            "Saving to: ‘/tmp/sunspots.csv’\n",
            "\n",
            "\r/tmp/sunspots.csv     0%[                    ]       0  --.-KB/s               \r/tmp/sunspots.csv   100%[===================>]  69.17K  --.-KB/s    in 0.001s  \n",
            "\n",
            "2019-07-01 15:07:57 (95.3 MB/s) - ‘/tmp/sunspots.csv’ saved [70827/70827]\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NcG9r1eClbTh",
        "colab_type": "code",
        "outputId": "cc91b0cb-d1c0-41e2-fdc6-0f7c3644f3ee",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        }
      },
      "source": [
        "import csv\n",
        "time_step = []\n",
        "sunspots = []\n",
        "\n",
        "with open('/tmp/sunspots.csv') as csvfile:\n",
        "  reader = csv.reader(csvfile, delimiter=',')\n",
        "  next(reader)\n",
        "  for row in reader:\n",
        "    sunspots.append(float(row[2]))\n",
        "    time_step.append(int(row[0]))\n",
        "\n",
        "series = np.array(sunspots)\n",
        "time = np.array(time_step)\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time, series)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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YBywaL9OPXYQ/fXlprHLIaO3ozD9Ada9kMbc7RrCE0tTv2e+4ueFQzJIQOpBypsBd7x3G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\n1mF3QM7YKNzx4kqMfXC+7+cqXriqY46oLZQZfMv6jq/mTGOc8y5svH2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QtGkTlJaO1CrX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\niGOOfQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "L92YRw_IpCFG",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "split_time = 3000\n",
        "time_train = time[:split_time]\n",
        "x_train = series[:split_time]\n",
        "time_valid = time[split_time:]\n",
        "x_valid = series[split_time:]\n",
        "\n",
        "window_size = 60\n",
        "batch_size = 32\n",
        "shuffle_buffer_size = 1000\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lJwUUZscnG38",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def windowed_dataset(series, window_size, batch_size, shuffle_buffer):\n",
        "  dataset = tf.data.Dataset.from_tensor_slices(series)\n",
        "  dataset = dataset.window(window_size + 1, shift=1, drop_remainder=True)\n",
        "  dataset = dataset.flat_map(lambda window: window.batch(window_size + 1))\n",
        "  dataset = dataset.shuffle(shuffle_buffer).map(lambda window: (window[:-1], window[-1]))\n",
        "  dataset = dataset.batch(batch_size).prefetch(1)\n",
        "  return dataset"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AclfYY3Mn6Ph",
        "colab_type": "code",
        "outputId": "b9ed6292-1022-41ca-cc84-c78c31b5d676",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
        "\n",
        "model = tf.keras.models.Sequential([\n",
        "    tf.keras.layers.Dense(20, input_shape=[window_size], activation=\"relu\"), \n",
        "    tf.keras.layers.Dense(10, activation=\"relu\"),\n",
        "    tf.keras.layers.Dense(1)\n",
        "])\n",
        "\n",
        "model.compile(loss=\"mse\", optimizer=tf.keras.optimizers.SGD(lr=1e-7, momentum=0.9))\n",
        "model.fit(dataset,epochs=100,verbose=0)\n",
        "\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<tensorflow.python.keras.callbacks.History at 0x7f4d79894e10>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GaC6NNMRp0lb",
        "colab_type": "code",
        "outputId": "31c9bab4-d285-401d-d5fb-781e7ea7cee8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        }
      },
      "source": [
        "forecast=[]\n",
        "for time in range(len(series) - window_size):\n",
        "  forecast.append(model.predict(series[time:time + window_size][np.newaxis]))\n",
        "\n",
        "forecast = forecast[split_time-window_size:]\n",
        "results = np.array(forecast)[:, 0, 0]\n",
        "\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, results)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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5FPP1LuIsDGtm/AplnUfnRnsb1vSWO2eRUItyzvIpm8YS56yQsRnIplisS1hTEARBEDaC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\nrkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "13XrorC5wQoE",
        "colab_type": "code",
        "outputId": "b1235d30-f341-4f39-e8b4-d65352fe0719",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "15.0819645"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 33
        }
      ]
    }
  ]
}